Mokhless Hammami
Abstract:
We consider the nonlinear equation
with
in
and
on
.
Where
is a smooth bounded domain in
,
,
and
is a small positive parameter.
We study the existence of solutions which
concentrate around one or two points of
.
We show that this problem has no solutions that concentrate
around a point of
as
approaches 0.
In contrast to this, we construct a domain for which
there exists a family of solutions which blow-up and concentrate
in two different points of
as
approaches 0.